Abstract
In this note, we prove that the Birkhoff–James orthogonality, as well as the strong Birkhoff–James orthogonality, is a symmetric relation in a full Hilbert -module if and only if at least one of the underlying -algebras or is isomorphic to .
Citation
Ljiljana Arambašić. Rajna Rajić. "On symmetry of the (strong) Birkhoff–James orthogonality in Hilbert -modules." Ann. Funct. Anal. 7 (1) 17 - 23, February 2016. https://doi.org/10.1215/20088752-3158195
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